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Finding the Third Proportional to 4,506 and 5,442

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Solution

The third proportional to 4,506 and 5,442 is: 6,572.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,506 : 5,442 = 5,442 : x
  2. Step 2: Convert to fraction form
    4,506/5,442 = 5,442/x
  3. Step 3: Cross multiply
    4,506x = 5,442 × 5,442
  4. Step 4: Simplify right side
    4,506x = 29,615,364
  5. Step 5: Solve for x
    x = 29,615,364/4,506
  6. Step 6: Final answer
    x = 6,572.43

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Why These Related Problems?

These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.